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Finding the Fourth Proportional to 379.88, 524.23 and 205.22

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Solution

The fourth proportional to 379.88, 524.23 and 205.22 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 524.23 = 205.22 : x
  2. Step 2: Convert to fraction form
    379.88/524.23 = 205.22/x
  3. Step 3: Cross multiply
    379.88x = 524.23 × 205.22
  4. Step 4: Simplify right side
    379.88x = 107,583.78
  5. Step 5: Solve for x
    x = 107,583.78/379.88
  6. Step 6: Final answer
    x = 283.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.